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Finding the Fourth Proportional to 12,203.97, 18,311.19 and 3,884.66

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Solution

The fourth proportional to 12,203.97, 18,311.19 and 3,884.66 is: 5,828.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,203.97 : 18,311.19 = 3,884.66 : x
  2. Step 2: Convert to fraction form
    12,203.97/18,311.19 = 3,884.66/x
  3. Step 3: Cross multiply
    12,203.97x = 18,311.19 × 3,884.66
  4. Step 4: Simplify right side
    12,203.97x = 71,132,747.35
  5. Step 5: Solve for x
    x = 71,132,747.35/12,203.97
  6. Step 6: Final answer
    x = 5,828.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.